• Open Access

Perturbative renormalization of the supercurrent operator in lattice N=1 supersymmetric Yang-Mills theory

G. Bergner, M. Costa, H. Panagopoulos, I. Soler, and G. Spanoudes
Phys. Rev. D 106, 034502 – Published 4 August 2022

Abstract

In this work we perform a perturbative study of the Noether supercurrent operator in the context of supersymmetric N=1 Yang-Mills theory on the lattice. The supercurrent mixes with several other operators, some of which are not gauge invariant, having the same quantum numbers. We determine, to one-loop order, the renormalization and all corresponding mixing coefficients by computing the relevant Green’s functions of each one of the mixing operators with external elementary fields. Our calculations are performed both in dimensional and lattice regularization. From the first regularization we obtain the MS¯-renormalized Green’s functions; comparison of the latter with the corresponding Green’s functions in the lattice regularization leads to the extraction of the lattice renormalization factors and mixing coefficients in the MS¯ scheme. The lattice calculations are performed to lowest order in the lattice spacing, using Wilson gluons and clover improved gluinos. The lattice results can be used in nonperturbative studies of supersymmetric Ward identities.

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  • Received 11 May 2022
  • Accepted 18 July 2022

DOI:https://doi.org/10.1103/PhysRevD.106.034502

Published by the American Physical Society under the terms of the Creative Commons Attribution 4.0 International license. Further distribution of this work must maintain attribution to the author(s) and the published article’s title, journal citation, and DOI. Funded by SCOAP3.

Published by the American Physical Society

Physics Subject Headings (PhySH)

Particles & Fields

Authors & Affiliations

G. Bergner1,*, M. Costa2,†, H. Panagopoulos2,‡, I. Soler1,§, and G. Spanoudes3,∥

  • 1University of Jena, Institute for Theoretical Physics, Max-Wien-Platz 1, D-07743 Jena, Germany
  • 2Department of Physics, University of Cyprus, 1 Panepistimiou Avenue, 2109 Aglantzia, Nicosia, Cyprus
  • 3Computation-based Science and Technology Research Center, The Cyprus Institute, 20 Kavafi Str., Nicosia 2121, Cyprus

  • *georg.bergner@uni-jena.de
  • kosta.marios@ucy.ac.cy
  • panagopoulos.haris@ucy.ac.cy
  • §ivan.soler.calero@uni-jena.de
  • g.spanoudis@cyi.ac.cy

See Also

Nonperturbative renormalization of the supercurrent in N=1 supersymmetric Yang-Mills theory

G. Bergner, M. Costa, H. Panagopoulos, S. Piemonte, I. Soler Calero, and G. Spanoudes
Phys. Rev. D 107, 034502 (2023)

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Vol. 106, Iss. 3 — 1 August 2022

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